On the ideal convergence of sequences of quasi-continuous functions
Fundamenta Mathematicae, Tome 232 (2016) no. 3, pp. 269-280
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
For any Borel ideal $\mathcal {I}$ we describe the $\mathcal {I}$-Baire system generated by the family of quasi-continuous real-valued functions. We characterize the Borel ideals $\mathcal {I}$ for which the ideal and ordinary Baire systems coincide.
Keywords:
borel ideal mathcal describe mathcal baire system generated family quasi continuous real valued functions characterize borel ideals mathcal which ideal ordinary baire systems coincide
Affiliations des auteurs :
Tomasz Natkaniec 1 ; Piotr Szuca 1
@article{10_4064_fm99_12_2015,
author = {Tomasz Natkaniec and Piotr Szuca},
title = {On the ideal convergence of sequences of quasi-continuous functions},
journal = {Fundamenta Mathematicae},
pages = {269--280},
publisher = {mathdoc},
volume = {232},
number = {3},
year = {2016},
doi = {10.4064/fm99-12-2015},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/fm99-12-2015/}
}
TY - JOUR AU - Tomasz Natkaniec AU - Piotr Szuca TI - On the ideal convergence of sequences of quasi-continuous functions JO - Fundamenta Mathematicae PY - 2016 SP - 269 EP - 280 VL - 232 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4064/fm99-12-2015/ DO - 10.4064/fm99-12-2015 LA - en ID - 10_4064_fm99_12_2015 ER -
%0 Journal Article %A Tomasz Natkaniec %A Piotr Szuca %T On the ideal convergence of sequences of quasi-continuous functions %J Fundamenta Mathematicae %D 2016 %P 269-280 %V 232 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.4064/fm99-12-2015/ %R 10.4064/fm99-12-2015 %G en %F 10_4064_fm99_12_2015
Tomasz Natkaniec; Piotr Szuca. On the ideal convergence of sequences of quasi-continuous functions. Fundamenta Mathematicae, Tome 232 (2016) no. 3, pp. 269-280. doi: 10.4064/fm99-12-2015
Cité par Sources :